Jack Thompson

Jack Thompson is an Associate Lecturer in the Department of Mathematics and Statistics at the School of Physics, Mathematics and Computing, The University of Western Australia, with an ORCID profile (0000-0002-6299-2688) and h-index of 4 based on 5 research outputs.

Education

• PhD in Mathematics, University of Western Australia, 2024 (Supervisors: Enrico Valdinoci, Serena Dipierro, Giorgio Poggesi)
• Bachelor of Mathematics (Honours), University of Queensland, 2020

Thompson's research centers on nonlocal partial differential equations, particularly integro-differential equations. His current projects investigate nonlocal overdetermined problems, regularity theory for nonlocal elliptic PDEs, and nonlocal minimal surfaces. Key contributions focus on fractional Laplacian operators, Harnack inequalities for antisymmetric solutions, and stability analyses in geometric contexts.

His 2023-2025 publications reveal a cohesive research trajectory in nonlocal analysis, emphasizing harmonic analysis techniques applied to antisymmetric solutions and quantitative stability for problems with parallel surfaces. Recurring themes include geometric measure theory, rigidity phenomena, and the interplay between fractional operators and classical PDE theory.

Thompson maintains active collaborations with leading researchers including Serena Dipierro, Enrico Valdinoci, Giorgio Poggesi, and Mateusz Kwaśnicki across international institutions.